. A random variable that can assume only a finite number of values is ? 2. same as #1 but an infinite number of values. 3. What do you know about continuous random variables? 4. Assume that UMUC is 70% female. A random variable of ten students is selected. What is the probability that exactly three of the ten students are female? 5. Using #4, what is the probability that at least 5 are male? 6. The number of electrical outages in Ellicott City has the following probability distribution: x - f(x) 0 - 10% 1 - 20% 2 - 30% 3 - 40% The mean and standard deviation for the number of outages are? 7. Give an example of a discrete and a continuous random variable. 8. If 10% of mortgage company customers default on their loans, what is the probability that in a sample of 5 exactly 3 customers default on their payments? 9. Given the following soda machine breakdown probabilities per month Number of breakdowns per month- Probability 0 - .10 1 - .20 2 - .30 3 - .40 4 - .00 the expected number of machine breakdowns per month is? 10. What is a Poisson probability distribution? 11. The expected value of x equals __________ given x - f(x) 10 - .4 20 - .3 30 - .1 40 - .2 12. Use #11 What is the variance of x equal to? 13-16 Use the following information: X represents the number of occurences in a five-minute period. It is assumed that the number of occurences remains constant over any two five-minute periods. The mean in five minutes is 2.9 13. The random variable is? 14. The expected value of the random variable is? 15. The probability of 5 occurences in five minutes is? 16. The probability that there is less than 2 occurences is?